A random sample of 225 colleges yielded a mean cost of colle…

A random sample of 225 colleges yielded a mean cost of college education of $30,500  per year.  Assume the population standard deviation is $5000.  Suppose you want to construct a 99% confidence interval of the mean cost of college.     a.  Find the standard error of the mean.  Round your answer to two decimal places.    b.  Find the lower limit of the 99% confidence interval.  Round your answer to two decimal places.    c.  Find the upper limit of the 99% confidence interval.  Round your answer to two decimal places.